POSITIVE SOLUTIONS OF p-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVE BOUNDARY CONDITION

被引：2
|
作者：
Haddouchi, F. [1 ,2 ]
机构：
[1] Univ Sci & Technol Oran MB, Fac Phys, Oran 31000, Algeria
[2] Univ Oran, Lab Fundamental & Appl Math Oran, Oran 31000, Algeria
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷 / 02期
关键词：
Caputo fractional differential equations; p-Laplacian operator; positive solutions; fixed-point theorem; existence; cone; EXISTENCE; MULTIPLICITY;
D O I：
10.33048/semi.2021.18.118
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show some results about the existence and uniqueness of the positive solution for a p-Laplacian fractional differential equations with fractional derivative boundary condition. Our results are based on Krasnosel'skii's fixed point theorem, the nonlinear alternative of Leray-Schauder type and contraction mapping principle. Three examples are given to illustrate the applicability of our main results.
引用
收藏
页码：1596 / 1614
页数：19
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